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Two consensus problems for discrete-time multi-agent systems with switching network topology. (English) Zbl 1258.93015

Summary: In this paper, we study both the leaderless consensus problem and the leader-following consensus problem for linear discrete-time multi-agent systems under switching network topology. Under the assumption that the system matrix is marginally stable, we show that these two consensus problems can be solved via the state feedback protocols, provided that the dynamic graph is jointly connected. Our result will contain several existing results as special cases. The proof is based on the stability analysis of a class of linear discrete-time switched systems which may have some independent interest.

MSC:

93A14 Decentralized systems
68T42 Agent technology and artificial intelligence
93B52 Feedback control
93C55 Discrete-time control/observation systems
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